What you'll learn...
- Multiply monomials
- Simplify expressions involving powers of monomials
Vocabulary
A monomial is a number, a variable, or a product of a number and one or more variables. An expression involving the division of variables is not a monomial. Monomials that are real numbers are called constants.
You need to know:
Rule 1: Product of Powers
-To multiply two powers that have the same base, add the exponents.
Rule 2: Power of a Power
-To find the power of a power, multiply the exponents.
Rule 3: Power of a Product
-To find the power of a product, find the power of each factor and multiply.
Study Tip:
To simplify an expression involving monomials, write an equivalent expression in which:
- each base appears exactly once,
- there are no power of powers, and
- all fractions are in simplest form.
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